Study Guide

Learning outcomes

Student is able to
- calculate and simulate mathematical expressions
- solve geometric and trigonometric problems
- knows bacis of vectors in plane

Learning material and recommended literature

All material is available in moodle.

Learning environment

The course is studied with material in moodle.

Contents

- Percentages, polynomial equations (1. and 2. degree), systems of two linear equations: word problems
- Basics of trigonometry (right-angled triangle, non-right angled triangle, unit circle)
- Geometry in plain
- Vectors in plain

Review on topics of Johdatus matematiikkaan (Introduction to mathematics), if needed.

Additional information for students: previous knowledge etc.

Johdatus matematiikkaan (Introduction to mathematics) or corresponding knowledge from expressions, unit transformation, equations, and system of two equations.

Assessment criteria

Exercises and an applied test.

Assessment scale

1-5

Failed (0)

A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.

Assessment criteria: level 1 (assessment scale 1–5)

A student knows methods for geometry in plain and for vectors in plain and can solve simple mechanical exercises.

Assessment criteria: level 3 (assessment scale 1–5)

A student understands requirements of geometry and vectors in plain and is able to apply them in some extent in engineering problems. At least 57% of maximum scores.

Assessment criteria: level 5 (assessment scale 1–5)

A student masters geometry and vectors in plain and is able to analyze engineering problems. At least 83 % of maximum scores.